A point P os equi distant from R(-2,4) and S(6,-4) and its x co ordinate is twice its Y co ordinate find co ordinates of P

Answers

Answer 1

Answer: [tex]P(-4,-2)[/tex]

Step-by-step explanation: Distance between two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Equidistant means the same distance, i.e., the distance between points P and R is equal to the distance between points P and S.

Suppose P's y-coordinate is a. If its x-coordinate is double, then

(x,y) = (2a,a)

Thus

[tex]\sqrt{(2a+2)^{2}+(a-4)^{2}} =\sqrt{(2a-6)^{2}+(a+4)^{2}}[/tex]

Solving

[tex]4a^{2}+8a+4+a^{2}-8a+16=4a^{2}-24a+36+a^{2}+8a+16[/tex]

[tex]5a^{2}+20=5a^{2}-16a+52[/tex]

[tex]-16a=32[/tex]

[tex]a=-2[/tex]

y-coordinate is [tex]-2[/tex], then x-ccordinate is

2a = 2(-2) = [tex]-4[/tex]

Coordinates of point P equidistant for R and S is [tex](-4,-2)[/tex].


Related Questions

Please help! image below

Answers

Answer:

28 units

hope this helps have an amazing day

PLS HELP WITH THIS ILL LOVE THEM FORWVWR

Answers

Answer:

I think opinion a. If it is wrong Iam sorry

100% of 100 is ?
100% of 8 is ?
100% of 24 is ?
100% of 36 is ?
100% of ¼ is ?

Answers

Answer:

100

8

24

36

1/4

Step-by-step explanation:

Answer:

100

8

24

36

1/4

Step-by-step explanation:

SMART PPL PLEASE HELP MEEEE

Answers

Answer:

it's 80% of 125

the value of x = 125

Step-by-step explanation:

. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)

B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?​

Answers

Answer:

(-1, -3)

Step-by-step explanation:

What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?

Using the coordinate point (-1, 3)

If x = -1 and y = 3

Substitute into the expressions and check if they are true

2x - 7y >5

= 2(-1)-7(-3)

= -2 + 21

= 19

Since 19 is greater than 5, hence the inequality 19 > 5 is true

Substituting into 3x - y < 4

3(-1)-(-3)

= -3 + 3

= 0

Since 0 < 4, hence this is also true for the inequality.

The coordinate point that satisfies the inequality is therefore (-1, -3)

Find the measure of the indicated angle to the nearest degree.
PLS URGENT HELP

Answers

I think the answer will be 31

Evaluate 9 - nº when n = 2.

Answers

Answer:

answer is 8

Step-by-step explanation:

direction: find the quotiend​

Answers

Answer:

broo this is easy check the comments the on yo tail

Step-by-step explanation:

Pls help me with this my sister’s going to take my phone in 10 minutes and I will give brainleast

Answers

Answer:

What are the closer two numbers together the then you find the slope

Step-by-step explanation:

Answer:

1x-6

Step-by-step explanation:

Slope Form: Mx+b

Slope Formula: y2-y1/x2-x1

(4,-2) (5,-1)

-1-(-2)= 1

5-4=1

1/1=1

Y-intercept: -6

Hope this helps!

List the possible rational roots of the equation. 0 = 22x4 - x2 + 121​

Answers

Answer:

22×4=88÷2=44+121=165

Answer:

±1

±1/2

±1/11

±1/22

±11

±11/2

±121

±121/2

Please help me, I am unsure how to do this

Answers

Answer:

-1/4

Step-by-step explanation:

Answer: -4 I think

Step by step: The equation for finding a slope is y2 -y1 /X2 - X1 and by x and y it means the coordinates so just pick a random two pair of coordinates and use that equation and if u chose (-1,4) and (1,-4) it will be -4-4/1- -1 which is -4. This works for any 2 coordinates. Sorry if that makes no sense lol

Josie makes invitations for her aunt's paper company. Of all the invitations Josie makes, 15/21 are children's party invitations. Of those invitations, 3/5 have an animal on them. What fraction of the invitations Josie makes are children's party invitations with an animal on them?

Answers

Answer:

the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

The computation of the fraction of the invitations considered to be an animal on them is shown below:

= Children party invitations × animal on them

[tex]= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}[/tex]

Hence, the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]

3x(2ab - b) - 2y(2a - b)
please i need help!!​

Answers

Answer:

6abx-3bx-4ay+2by

Step-by-step explanation:

Answer:

The answer is 6xab - 3xb - 4ya + 2yb

Step-by-step explanation:

Factor the polynomial.

~Hoped this helped~

4^x. 2^y =128,find x and y .please needed urgently​

Answers

I got no idea what the answer is

expand the following: 4(2x + 1)

Answers

8x + 4 is the answer

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

why do countries, make alliances, in wartime? please someone help me!

Answers

Answer:

Most of the time, it is because they need the military aid or the resources that a certain country needs. That's kinda what the UN is all about is aiding each other in times of war

Step-by-step explanation:

Answer:

Because when make allies, they have someone to have their back.

Step-by-step explanation:

For example, If you're in a fight, you're gonna need backup. In war, you need as many people as you can to take down the villain (your opponent). Which means people, ammo, guns, bombs, support, and inside spies. All of this helps and will be easier to defeat the person per-say.

Jacob joined a gym for a year. His total cost for the year was $410, including the monthly

Answers

Answer:

What's your question ask the full question

The answer is Blue because my mom got stuck in the toaster tomorrow

FAST!!
Select ALL the correct answers.
With which information can you construct more than one triangle?

the measurements of two angles

the measurements of two angles and the length of the included side

the measurements of all the angles

the lengths of two sides and the measurement of the included angle

Answers

Answer:

a b and d

Step-by-step explanation:

Answer:

the measurements of two angles

the measurements of two angles and the length of the included side

the lengths of two sides and the measurement of the included angle

Step-by-step explanation:

Factorise fully
px + py​

Answers

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

Whos HAPPYYYYY today

Answers

Answer:

meeeeeeeeeeee super happy

Which situation would be represented by the integer -8? A hole 8 feet deep. An 8-yard pass. You earn $8. A temperature of 8°F.

Answers

Answer:

A

Step-by-step explanation:

another helluva boss meme

Simple question: What is the difference between 32% vs 15%?

Answers

Answer:

Look below :)

Step-by-step explanation:

Well one of them is a bigger percentile, so the difference is 32-15. So the answer is 17. I hope this helps!

=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.

Answers

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

Evan is going to invest in an account paying an interest rate of 6.1% compounded
continuously. How much would Evan need to invest, to the nearest ten dollars, for
the value of the account to reach $7,800 in 14 years?

Answers

Answer:3320

Step-by-step explanation:

<
10 of 21
Next >
- Lesson 5: Solving Any Linear Equation
Plymel
5.2: Trading Moves
Select another equation. Then take turns with each step
to solve the equation.
5x+7=x+13
O 2(x + 7) = -4x+14

Answers

Answer:

photo math is very helpful for math really try it

Northlake high school has two lunch periods.

Answers

The answer should be A

Answer: A greater percentage of second-lunch students (39%) eat outside.

Step-by-step explanation: i just did it

Write an equation of the line that passes through (4,2) and is perpendicular to the line y=−13x+1.

Equation: y=

Answers

Answer:

y=x-2

Step-by-step explanation:

This slope goes through the point and is perpendicular to y=-13x+1

Hope this helped

Four square tiles, each of side 12 cm are used to make a bigger tile. Find the perimeter of the larger tile.

Answers

Answer:

192 cm

Step-by-step explanation:

Given that:

Side length of small tiles = 12cm

Number of small tilea used to make a bigger tile = 4

The perimeter of larger tile:

Perimeter of a square = 4s

Where, s = side length

Side length of larger tile :

4 * side length of smaller tile

4 * 12

= 48 cm

Hence,

Perimeter of a larger square tile = 4s

4 * 48cm

= 192 cm

Find x and y

(45-45-90 formula)

(It’s not 5.6 for x and y I got that wrong)

I’ll mark as brainliest!!

Answers

Answer:

x = y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex]  , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )

8 × cos45° = x , then

x = 8 × [tex]\frac{\sqrt{2} }{2}[/tex] = 4[tex]\sqrt{2}[/tex]

The third angle in the triangle = 45° ( sum of angles in triangle )

Then the triangle is isosceles with congruent legs, thus

x = y = 4[tex]\sqrt{2}[/tex]

Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )

Answers

Answer:

B) 2,340

Step-by-step explanation:

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